Exact(9)
The larger of the two optic flow sums perceived increased until the honeybee reached the constriction.
Analysis of the larger of the two optic flow sums showed that their variance was lower at an angle of 45° than at 90°.
Consequently, it is the plane (horizontal or vertical) affording the larger of the two optic flow sums that will constrain the bee's speed.
In reducing their speed, honeybees maintain the larger of the two perceived optic flow sums at a relatively constant value (Figure 4B 4D).
In Figure 4B, we plotted the larger of the two mean optic flow sums perceived by the bee at 90° (either laterally or vertically) (ω90°Rght + ω90°Lft, yellow line and ω90°Drsl + ω90°Vtrl, magenta line).
This conclusion was supported by comparisons between the variances of the larger optic flow sums obtained at 90° and at 45° (Max(Σω90°) and Max(Σω45°)): as shown by the histograms to the right of Figure 4B,D, the variance-to-the-mean ratio was distinctly lower at 45° than at 90° ( t(36) = 2.99, p<0.01 ).
Similar(51)
There was a lack of attacking flow, summed up by a weak final in which Italy barely had a shot in the first half and France played with Henry up on his own.
As the bees approached this first constriction point, the larger optic flow sum increased.
The first constriction was encountered at position x = 73 cm (Figure 4C, arrowhead n°3), whereas the larger optic flow sum (Max(Σω45°) ) occurred at x = 82 cm.
We therefore observed that the larger optic flow sum was stabilized (Figure 4B 4D) thanks to the decrease and the increase of the honeybees' speed.
The second constriction occurred at position x = 135 cm (arrowhead n°4), whereas the larger optic flow sum (Max(Σω45°)) occurred at x = 137 cm.
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